Vornmath

Vornmath is a pure Lua library providing extensive mathematical types and operations for game development, graphics, and scientific computing. It offers a unified API for scalars, vectors, matrices, complex numbers, and quaternions with support for component-wise and linear algebraic operations.

Key Features

• Multiple Numeric Types — Supports numbers, complexes, quaternions, and vectors/matrices of dimensions 2–4 with numeric, complex, or boolean components.
• Operator Overloading — Uses Lua metamethods to enable natural syntax like a + b and a * b for all types.
• Out Variables for Performance — Functions accept optional out parameters to reuse objects and minimize allocations.
• Lazy Function Generation — Employs a "bakery" system to generate millions of possible function signatures on-demand, keeping initial footprint small.
• Comprehensive Function Set — Includes trigonometric, exponential, vector, matrix, relational, and color-space operations.
• Swizzling Support — Enables flexible component access and manipulation in vectors via xyzw, rgba, or stpq notation.

Philosophy

Vornmath prioritizes completeness and correctness, offering mathematically sound operations across all supported types while maintaining performance through lazy compilation and out-variable patterns.